Title
Design Of Reduced-Order Interval Observers For Lti Systems With Bounded Time-Varying Disturbances: A Parametric Approach
Abstract
This paper investigates the design problem of reduced-order interval observers for linear time-invariant systems with bounded time-varying disturbances. Although there are many excellent design methods of interval observers, it is still a worth discussing problem to construct the cooperativity of observer error dynamics. Firstly, under the full consideration of anti-interference point, a general approach to design a reduced-order interval observer is proposed, and the complexity of constructing the system cooperativity is decreased. Secondly, a parametric design method of the reduced-order interval observers is further built on the above one by solving a type of generalised Sylvester equations, which ensures the existence of the reduced-order interval observers, and the calculation problem of linear matrix inequalities is avoided effectively. Besides, one further novelty is the consideration of the parameters whose influence on the observer performance, such as the convergence rate of the output interval and robustness. Meanwhile, a constructive procedure to obtain a reduced-order interval observer is advanced. Finally, the effectiveness of the proposed method is illustrated through numerical simulations.
Year
DOI
Venue
2020
10.1080/00207179.2019.1675901
INTERNATIONAL JOURNAL OF CONTROL
Keywords
DocType
Volume
Reduced-order, interval observer, parametric approach, time-varying disturbances
Journal
93
Issue
ISSN
Citations 
11
0020-7179
1
PageRank 
References 
Authors
0.35
0
3
Name
Order
Citations
PageRank
Da-Ke Gu152.79
Long-Wen Liu210.69
Guang-Ren Duan31735177.31